If `N=antilog_3(log_6(antilog_sqrt5 (log_5(1296)))`, then the characteristic of log N to the base 2, is equal to

If log_(2x)20sqrt(6)=log_(3x)90, then characteristic of log _(5)x^(3) is equal to

If N = antilog_7 (log_3 (antilog_sqrt3 (log_3 81))), then log_3 N lies between two successive integers a and b. Find (a + b).

Let N=10^(log2-2log(log10^(3))+log(log10^(6))^(2)) where base of the logarithm is 10. The characteristic of the logarithm of N the base 3, is equal to (a) 2 (b) 3 (c) 4 (d) 5

If sum of the integral values of x satisfying the equation |x-1|^(log^(2)x-1log^(2))=|x-1|^(3) is N, then find characteristic of logarithm of N to the base 5.

Given antilog (2.375) =x Characteristic of log x is ______

Find antilog of 5/6 of the base 64.

Find antilog of 5/6 of the base 64.

If a=log_(4)5 and b=log_(5)6, then log_(2)3=

Let L denote antilog 320.6 and M denote the number of positive integers which have the characteristic 4, when the base of log is 5, and N denote the value of 49^((1-log_(7)2))+5^(-log_(5)4) Find the value of (LM)/(N) .